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The papers in this volume are based on lectures given at the IMA
Workshop on Grid Generation and Adaptive Algorithms held during
April 28 - May 2, 1997. Grid generation is a common feature of many
computational tasks which require the discretization and
representation of space and surfaces. The papers in this volume
discuss how the geometric complexity of the physical object or the
non-uniform nature of the solution variable make it impossible to
use a uniform grid. Since an efficient grid requires knowledge of
the computed solution, many of the papers in this volume treat how
to construct grids that are adaptively computed with the solution.
This volume will be of interest to computational scientists and
mathematicians working in a broad variety of applications including
fluid mechanics, solid mechanics, materials science, chemistry, and
physics. Papers treat residual-based error estimation and
adaptivity, repartitioning and load balancing for adaptive meshes,
data structures and local refinement methods for conservation laws,
adaptivity for hp-finite element methods, the resolution of
boundary layers in high Reynolds number flow, adaptive methods for
elastostatic contact problems, the full domain partition approach
to parallel adaptive refinement, the adaptive solution of phase
change problems, and quality indicators for triangular meshes.
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